$a)3-1\frac{4}{5}:\frac{-3}{4}=3-\frac{9}{5}.\frac{4}{-3}=3-\frac{12}{5}=1$
$b)\frac{3}{5}+\frac{2}{5}.\frac{-3}{4}=\frac{3}{5}+\frac{-3}{10}=\frac{3}{10}$
$c)8\frac{2}{3}:4\frac{1}{3}-10=\frac{26}{3}.\frac{3}{13}-10=2-10=-8$
$d)\frac{5}{8}+\frac{9}{4}.\frac{5}{3}-\frac{5}{24}=\frac{5}{8}+\frac{15}{4}-\frac{5}{24}=\frac{100}{24}=\frac{25}{6}$